Neural networks for solving the superposition problem using approximation method and adaptive learning rate

  • Authors:
  • Théophile K. Dagba;Villevo Adanhounmè;Sèmiyou A. Adédjouma

  • Affiliations:
  • Ecole Nationale d'Economie Appliquée et de Management, Université d'Abomey-Calavi, Cotonou, Republic of Benin;International Chair of Mathematical Physics and Applications, UNESCO, Université d'Abomey-Calavi, Cotonou, Republic of Benin;Ecole Polytechnique d'Abomey-Calavi, Université d'Abomey-Calavi, Cotonou, Republic of Benin

  • Venue:
  • KES-AMSTA'10 Proceedings of the 4th KES international conference on Agent and multi-agent systems: technologies and applications, Part II
  • Year:
  • 2010

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Abstract

An algebraic approach for representing multidimensional non-linear functions by feedforward neural networks is implemented for the approximation of smooth batch data containing input-output of the hidden neurons and the final neural output of the network. The training set is associated to the adjustable parameters of the network by weight equations. Then we have obtained the exact input weight of the nonlinear equations and the approximated output weight of the linear equations using the conjugate gradient method with an adaptive learning rate. Using a multi-agents system as different kinds of energies for the plant growth, one can predict the height of the plant.